Summing a Series Like n*(n!)

Date: 10/28/2001 at 02:34:37
From: Aberlig
Subject: Summing up series like n*(n!)
Hello,
I was recently reading a book and was wondering how to add up a
series whose nth term is n*(n!) where the ! sign indicates factorial,
so n! = n*(n-1)* ... 2*1.
The series went like 1*1! + 2*2! + 3*3! ... n*n!.
Please also show the steps and the method used to solve this problem.
Thank you,
Aberlig